32.4k views
1 vote
What is the value of _a_ in the equation below?

2a + 3 = 4a + 5

User Diederikh
by
4.8k points

2 Answers

4 votes

Step-by-step

Simplifying 2a + 3 = 4a + 5

Reorder the terms: 3 + 2a = 4a + 5

Reorder the terms: 3 + 2a = 5 + 4a

Solving 3 + 2a = 5 + 4a

Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right.

Add '-4a' to each side of the equation. 3 + 2a + -4a = 5 + 4a + -4a

Combine like terms: 2a + -4a = -2a 3 + -2a = 5 + 4a + -4a Combine like terms: 4a + -4a = 0 3 + -2a = 5 + 0 3 + -2a = 5 Add '-3' to each side of the equation. 3 + -3 + -2a = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = 5 + -3 -2a = 5 + -3 Combine like terms: 5 + -3 = 2 -2a = 2 Divide each side by '-2'. a = -1 Simplifying a = -1

User Joshua Swink
by
4.5k points
3 votes

Explanation:

hope it is helpful to you

What is the value of _a_ in the equation below? 2a + 3 = 4a + 5-example-1
User Michiel Buddingh
by
4.7k points